Use the elimination method to slove the system of equations. choose the correct ordered pair x + y = 8 x - y = 6

x=7 and y=1

Explanation:

Step-by-step x+y=8;x−y=6

Step: Solve x+y=8 for x:

x+y=8

x+y+−y=8+−y(Add -y to both sides)

x=−y+8

Step: Substitute−y+8 for x in x−y=6:

x−y=6

−y+8−y=6

−2y+8=6(Simplify both sides of the equation)

−2y+8+−8=6+−8(Add -8 to both sides)

−2y=−2

−2y

−2

=

−2

−2

(Divide both sides by -2)

y=1

Step: Substitute 1 for y in x=−y+8:

x=−y+8

x=−1+8

x=7(Simplify both sides of the equation)

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